Title: Comparative analysis of proton and pion scattering on the isotopes {sup 6,8}He within Glauber theory

Abstract

The differential cross sections for p{sup 6,8}He and p{sup 6,8}He scattering at the RIKEN andGSI energies (0.073 and 0.7 GeV per nucleon) were calculated on the basis of Glauber theory. Pion and proton interaction with a nucleus is determined by the multiple-scattering series (Glauber operator), so that various collision multiplicities and their contributions to the summed cross section can be taken into account. The use of the α-n-n wave function for {sup 6}He and the wave function on the basis of the large-scale shell model (LSSM) for {sup 8}He makes it possible to calculate analytically scattering matrix elements.

@article{osti_22612614,
title = {Comparative analysis of proton and pion scattering on the isotopes {sup 6,8}He within Glauber theory},
author = {Ibraeva, E. T., E-mail: ibraeva.elena@gmail.com and Imambekov, O.},
abstractNote = {The differential cross sections for p{sup 6,8}He and p{sup 6,8}He scattering at the RIKEN andGSI energies (0.073 and 0.7 GeV per nucleon) were calculated on the basis of Glauber theory. Pion and proton interaction with a nucleus is determined by the multiple-scattering series (Glauber operator), so that various collision multiplicities and their contributions to the summed cross section can be taken into account. The use of the α-n-n wave function for {sup 6}He and the wave function on the basis of the large-scale shell model (LSSM) for {sup 8}He makes it possible to calculate analytically scattering matrix elements.},
doi = {10.1134/S1063778816040128},
journal = {Physics of Atomic Nuclei},
number = 5,
volume = 79,
place = {United States},
year = {Thu Sep 15 00:00:00 EDT 2016},
month = {Thu Sep 15 00:00:00 EDT 2016}
}

Differential cross sections for elastic p{sup 6,8}He and p{sup 8,9}Li scattering at energies between 60 and 70 MeV per nucleon and at the energy of 700 MeV per nucleon were calculated. The calculations in question were performed with the wave functions found on the basis of the α–n–n (for {sup 6}He), α–t–n (for {sup 8}Li), and α–t–2n (for {sup 9}Li) three-body models and with the density from the large-scale shell model for the {sup 8}He nucleus. The respective matrix elements were derived either upon taking fully into account the multiple-scattering operator or in the optical-limit approximation. A comparison of themore » results of the precise and approximate calculations made it possible to estimate reliably the contribution of higher multiplicity collisions to the differential cross sections.« less

Using fragment-separator COMBAS [1] in forward-angle measurements the velocity, isotopic and element distributions of products with Z<7 in {sup 11}B(33 AMeV)+{sup 9}Be reaction have been studied. The yields of {sup 6,8}He and {sup 9}Li isotopes on the {sup 9}Be thick target (332.6 mg/cm{sup 2}) as a function of momentum acceptance of fragment -separator COMBAS have been measured. The production rates per 1pmuA of the primary beam of exotic nuclei of {sup 6}He(6.9centre dot10{sup 5} pps), {sup 8}He(2centre dot10{sup 4} pps) and {sup 9}Li(4.3centre dot10 {sup 5}pps) which can be used as secondary radioactive beams of halo -like nuclei have beenmore » determined. The two-neutron halo nuclei {sup 6,8}He and {sup 9}Li are of great current interest both as very neutron-rich nuclei with a significant neutron skin and in understanding the interactions of very neutron-rich nuclei. The {sup 9}Li beam may be helpful in understanding of sub barrier fusion enhancement independent of the presence of the halo nucleons in used neutron--rich projectiles.« less

The {alpha}+{sup 6}He low-energy reactions and the structural changes of {sup 10}Be in the microscopic {alpha}+{alpha}+2N model are studied by the generalized two-center cluster model with the Kohn-Hulthen-Kato variation method. It is found that, in the inelastic scattering to the {alpha}+{sup 6}He(2{sub 1}{sup +}) channel, characteristic enhancements are expected as the results of the parity-dependent non-adiabatic dynamics. The similar method is applied to the resonant scattering of {alpha}+{sup 8}He, and the coupling with the compound configurations of {alpha}+{alpha}+4N are discussed.

A microscopic approach to calculate the optical potential (OP) with the real part obtained by a folding procedure and with the imaginary part inherent in the high-energy approximation (HEA) is applied to study the {sup 6,8}He+p elastic scattering data at energies of tens of MeV/N. The OP's and the cross sections are calculated using different models for the neutron and proton densities of {sup 6,8}He. The role of the spin-orbit (SO) potential and effects of the energy and density dependence of the effective NN forces are studied. Comparison of the calculations with the available experimental data on the elastic scatteringmore » differential cross sections at beam energies <100 MeV/N is performed and conclusions on the role of the aforesaid effects are made. It is shown that the present approach, which uses only parameters that renormalize the depths of the OP, can be applied along with other methods like that from the microscopic g-matrix description of the complex proton optical potential.« less

The cross section and the transverse-longitudinal asymmetry A{sub TL} of the three-body breakup process {sup 3}He(e,e{sup '}p)pn have been calculated by a parameter-free approach based upon realistic few-body wave functions corresponding to the AV18 interaction, treating the rescattering of the struck nucleon within the unfactorized generalized eikonal approximation. The results of calculations exhibit a good agreement with recent JLab experimental data and show the dominant role played by the final state interaction, which, however, in the region of missing momentum, 300< or approx.p{sub m}< or approx.600 MeV/c, and removal energy corresponding to the two-body kinematic peak and higher, E{sub m}>more » or approx.p{sub m}{sup 2}/4m{sub N}, is dominated by single-nucleon rescattering, providing evidence that the final state interaction is mainly due to the one between the struck nucleon and a nearby correlated one.« less